Huns VS Han China War - China Cavalry VS Turik Cavalry

The Eastern (Dai Prefecture) Theatre : Huo Qubing's forces set off from Dai Prefecture, marched over 1,000 miles and directly engaged the forces of the Xiongnu's Worthy Prince of the East (左賢王, "Wise King of the East"). The battle was swift and decisive, as the Worthy Prince's forces were no match for Huo's elite cavalry. The Huo's army quickly encircled and overran their enemy, killing 70,443 men and capturing three Xiongnu lords and 83 nobles. Huo Qubing's forces suffered a 20% casualty rate but were quickly resupplied locally from their capture. He then went on to conduct a series of rituals upon arrival at the Khentii Mountains (狼居胥山, and the more northern 姑衍山) in order to symbolize the historic Han victory, then continued his pursuit as far as Lake Baikal (瀚海), effectively annihilating the Xiongnu clan The Western (Dingxiang) Theatre:The Han army mobilized as planned. After a journey of over 500 miles, they encountered the Chanyu's main forces of 80,000 cavalry. This was unexpected, as the original strategy was to let Huo Qubing's elite troops deal with Chanyu's elite cavalry (the reason that the two Han columns switched route). The Xiongnu forces, however, had been long waiting in anticipation to ambush their adversary. The Han forces, on the other hand, were tired and outnumbered, especially since the eastern division had not yet arrived on the battlefield. Without hesitation, the Xiongnu charged the Han forces with a 10,000-strong vanguard of cavalry.
Wei Qing recognized the odds against him and quickly took defensive countermeasures. He ordered his troops to arrange heavy-armoured chariots (武刚车/武剛車) in a ring formations, creating mobile fortresses that provided archers, crossbowmen and infantry protection from the Xiongnu's powerful cavalry charges, and allowed Han troops to utilize their ranged weapons' advantages of precision. A 5,000-strong force of cavalry was deployed to reinforce the array and eradicate any Xiongnu forces that managed to infiltrate the ringed chariots. This tactic proved effective in countering the momentum of the nomadic cavalry, as the Xiongnu forces were unable to breach the Han army's lines. With the Xiongnu's initial energy neutralized, the battle solidified into a stalemate with neither side making significant gains or losses.
This stalemate lasted until dusk, when a sandstorm obscured the battlefield. Knowing that this was his chance, Wei Qing sent in his main force. The Han cavalry used the low visibility as cover and encircled the Chanyu's army from both flanks. The Xiongnu's lines were overwhelmed, and their morale broken by the sight of Han soldiers attacking them in the darkness. Seeing that his forces were completely overrun, the Chanyu escaped under the escort of only a few hundred men. The Han forces killed over 19,000 enemies and pursued the remainder another 100 miles to the Khangai Mountains where they besieged then captured the Fortress of Zhao Xin located in the Orkhon Valley. After a day spent regrouping and receiving fresh supplies, the Han forces burned the stronghold to the ground, before returning in triumph.